Answer:
B. 15
Step-by-step explanation:
The 5 is in the millions place. The 1 at left is in the 10 millions place.
That means 15 million.
Answer: B. 15
Answer:
Option B. 15
Step-by-step explanation:
To write it in words we have.
write in words: fifteen million, seven hundred and sixty-five thousand, one hundred and thirty-two
In Expanded Form:
15,765,132 =
10,000,000
+ 5,000,000
+ 700,000
+ 60,000
+ 5,000
+ 100
+ 30
+ 2
= 15,765,132
There you go the answer is Option B. 15
Hope this Helps! :3
Have a great day! :3
Nina needs to create a pond space that has a volume of 134 cubic feet and a depth of 4 feet. She proposes three possible pool designs:
a prism with a square top
an inverted cone with a circular opening
a hemisphere with a circular opening
Calculate the area of exposed water for each of Nina's proposed pool designs.
The area of exposed water for the prism pool is
square feet.
The area of exposed water for the inverted cone pool is
square feet.
The area of exposed water for the hemisphere pool is approximately
square feet
a. Area of the exposed water of the prism pool: 33.5 ft²
b. The area of exposed water for the cone pool = 102.1 ft²
c. Hemisphere pool = πr² = π(4²) = 50.3 ft²
What is the Volume of an Hemisphere?Volume = (2/3)πr
What is the Volume of a Cone?Volume = 1/3πr²h
What is the Volume of a Prism?Volume = Base area × height
a. Area of the exposed water = area of the square top = base area of the prism
Find base area using, Volume = Base area × height. Thus:
134 = Base area × 4
Base area = 134/4 = 33.5 ft²
Area of the exposed water for the prism pool = 33.5 ft²
b. Find the radius of the cone using, volume = 1/3πr²h.
134 = 1/3πr²(4)
(3)(134) = πr²(4)
402/4π = r²
32 = r²
r = 5.7 ft
The area of exposed water for the inverted cone pool = πr² = π(5.7)² = 102.1 ft²
c. The radius is the depth of the hemisphere pool
The area of the exposed water for the hemisphere pool = πr² = π(4²) = 50.3 ft²
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If [tex]x = \sqrt{a^{sin^{-1}t}}[/tex],[tex]y =\sqrt{a^{cos^{-1}t}}[/tex], show that [tex]\frac{dy}{dx}= -\frac{y}{x}[/tex].
Please help & don't spam!
Step-by-step explanation:
[tex]\sf x = \sqrt{a^{sin^{-1} \ t}}\\\\\\Derivative \ rule:\boxed{\dfrac{d(\sqrt{x})}{dx}=\dfrac{1}{2}*x^{\frac{-1}{2}}=\dfrac{1}{2\sqrt{x}}}[/tex]
[tex]\sf \dfrac{d(\sqrt{a^{sin^{-1} \ t}}}{dt}=\dfrac{1}{2\sqrt{a^{sin^{-1} \ t}}}*\dfrac{d(a^{sin^{-1} \ t})}{dt}\\\\\\Derivative \ rule: \boxed{\dfrac{d(a^{x})}{dx}=log \ a *a^{x}}[/tex]
[tex]\sf = \dfrac{1}{2\sqrt{a^{sin^{-1}} \ t}}*a^{sin^{-1} \ t}* log \ a *\dfrac{d(Sin^{-1} \ t)}{dt}\\\\[/tex]
[tex]Derivative \ rule:\boxed{\dfrac{d(sin^{-1} \ x}{dx}=\dfrac{1}{\sqrt{1-x^2}}}[/tex]
[tex]\sf = \dfrac{1}{2\sqrt{a^{sin^{-1} \ t}}}*a^{Sin^{-1} \ t}*log \ a*\dfrac{1}{\sqrt{1-x^2}}}}}\\\\ = \dfrac{a^{Sin^{-1} \ t}*log \ a}{2\sqrt{a^{sin^{-1} \ t}}*\sqrt{1-x^2}}[/tex]
[tex]\boxed{ \dfrac{a^{sin^{-1} \ t}}{\sqrt{a^{sin^{-1} \ t}}}=\dfrac{\sqrt{a^{sin^{-1} \ t}}*\sqrt{a^{sin^{-1} \ t}}}{\sqrt{a^{sin^{-1} \ t}}} = \sqrt{a^{sin^{-1} \ t}}}[/tex]
[tex]\sf = \dfrac{a^{sin^{-1} \ t}*log \ a}{2\sqrt{1-x^2}}[/tex]
[tex]\sf \dfrac{dy}{dt}=\dfrac{d(a^{cos^{-1} \ t})}{dt}[/tex]
[tex]= \dfrac{1}{2\sqrt{a^{cos^{-1} \ t}}}*a^{cos^{-1} \ t}*log \ a *\dfrac{-1}{\sqrt{1-x^2}}}\\\\\\=\dfrac{(-1)*a^{cos^{-1} \ t}*log \ a}{2*\sqrt{a^{cos^{-1} \ t}}*\sqrt{1-x^2}}[/tex]
[tex]\sf = \dfrac{(-1)*\sqrt{a^{Cos^{-1} \ t}}* log \ a }{2\sqrt{1-x^2}}\\\\[/tex]
[tex]\sf \bf \dfrac{dy}{dx}=\dfrac{dy}{dt} \div \dfrac{dx}{dt}\\[/tex]
[tex]\sf \bf = \dfrac{(-1)*\sqrt{a^{cos^{-1} \ t}}*log \ a}{2*\sqrt{1-x^2}} \ \div \dfrac{\sqrt{a^{sin^{-1} \ t}} *log \ a}{2*\sqrt{1-x^2}}\\\\\\=\dfrac{(-1)*\sqrt{a^{cos^{-1} \ t}}*log \ a}{2*\sqrt{1-x^2}} \ * \dfrac{2*\sqrt{1-x^2}}{\sqrt{a^{sin^{-1} \ t}} *log \ a}\\\\= \dfrac{(-1)* \sqrt{a^{cos^{-1} \ t}} }{\sqrt{a^{sin^{-1} \ t}}}\\\\= \dfrac{-y}{x}[/tex]
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: x = \sqrt{ {a}^{sin {}^{ - 1}t } } [/tex]
here, let's differentiate it with respect to t ~
[tex]\sf \dashrightarrow \: \dfrac{dx}{dt} = \dfrac{1}{2 \sqrt{a {}^{sin {}^{ - 1}t } } } \times a {}^{sin {}^{ - 1}t } \sdot ln(a) \times \dfrac{1}{ \sqrt{1 - {x}^{2} } }[/tex]
[tex]\sf \dashrightarrow \: \dfrac{dx}{dt} = \dfrac{ \sqrt{ {a}^{sin {}^{ - 1}t } } \sdot ln(a)}{2 \sqrt{1 - {x}^{2} } } [/tex]
[tex]\sf \dashrightarrow \: \cfrac{dt}{dx} = \dfrac{2 \sqrt{1 - {x}^{2} } }{ \sqrt{a {}^{sin {}^{ - 1} t} \sdot ln(a)} }[/tex]
Smililarly,
[tex]\sf \dashrightarrow \: \dfrac{dy}{dt} = \dfrac{1}{2 \sqrt{a {}^{cos{}^{ - 1}t } } } \times a {}^{cos {}^{ - 1}t } \sdot ln(a) \times \dfrac{ - 1}{ \sqrt{1 - {x}^{2} } }[/tex]
[tex]\sf \dashrightarrow \: \dfrac{dy}{dt} = - \dfrac{ \sqrt{ {a}^{cos {}^{ - 1}t } } \sdot ln(a)}{2 \sqrt{1 - {x}^{2} } }[/tex]
Now : Lets get Required result ~
[tex]\sf \dashrightarrow \: \dfrac{dy}{dx} = \dfrac{dy }{dt} \times \dfrac{dt}{dx} [/tex]
[tex]\sf \dashrightarrow \cfrac{dy}{dx} = - \dfrac{\sqrt{ {a}^{cos {}^{ - 1}t } \sdot \cancel{ ln(a)}}}{ \cancel{2 \sqrt{1 - {x}^{2}}}} \sdot \dfrac{ \cancel{2 \sqrt{1 - {x}^{2}} } }{ \sqrt{a {}^{sin {}^{ - 1} t} }\sdot \cancel{ln(a)}}[/tex]
[tex]\sf \dashrightarrow \cfrac{dy}{dx} = - \dfrac{\sqrt{ {a}^{cos {}^{ - 1}t } }}{ \sqrt{a {}^{sin {}^{ - 1} t} }}[/tex]
[tex]\sf \dashrightarrow \cfrac{dy}{dx} = - \dfrac{y}{x} [/tex]
[ since y = [tex]\sf{\sqrt{a^{cos^{-1}t}} } [/tex] and x = [tex]\sf{\sqrt{a^{sin^{-1}t}} } [/tex] ]
An airplane is flying 4,000 feet above the ground. It is approaching the runway. A person is standing on the runway looking up at the plane. If the angle of elevation is 12 degrees
what is the distance of the plane from the runway, to the nearest tenth of a foot?
i am from afghanistan and you all gus
The trigonometric relation is solved and distance of the plane from the runway is D = 18,818.52 feet
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
An airplane is flying 4,000 feet above the ground
A person is standing on the runway looking up at the plane. And the angle of elevation is 12°
So , from the trigonometric relation , we get
tan 12° = 4000 / D
On simplifying , we get
D = 4000 / 0.21255656167
D = 18,818.52 feet
Hence , the distance is D = 18,818.52 feet
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somebody help me 7u7
Answer:
105 square feet
Step-by-step explanation:
First of all, find the area of the rectangle (length x width). 7*12 = 84. Now, find the area of the triangle [(base x height)/2]. 6*7 = 42. 42/2 = 21.
Add both of these areas together: 84 + 21 = 105. The area is 105 square feet.
Answer:
105 square feet
Step-by-step explanation:
There are two shapes in this figure, a rectangle and a triangle. We have to find the area of the two shapes separately.
Rectangle Areal x w is the rectangle area formula.
12 x 7 = 84.
The area of the rectangle is 84 square feet
Triangle Area[tex]\frac{l * w}{2}[/tex] is the triangle area formula
[tex]\frac{7* 6}{2}[/tex] = 21
84 + 21 = 105 square feet.
what is the value of x? x°-4 100° 3x°
Answer:
x = 21
Step-by-step explanation:
The sum of interiro angles in atriangle is equal to 180:
x - 4 + 100 + 3x = 180 add like terms
4x + 96 = 180 subtract 96 from both sides
4x = 84 divide both sides by 4
x = 21
Answer:
The answer is x = 21.
Step-by-step explanation:
Make f the subject of 12k^2 = root (f+6)/2
Answer:
f=2×12k⁴-6
Step-by-step explanation:
root(f+6/2)=12k²
take the root away f+6/2=12k²
f+6/2=12k⁴
f=2×12k⁴-6
Ham bought 40 calculators each at £8.20 and a number of other calculators at £2.95each .in all he spent £387 .how many cheaper calculators did he buy ?
in the garden, the ratio of roses to daises is 1:3. there are 8 roses. How many daises are there
Please i need some help on this question
Answer:
B
Step-by-step explanation:
It made more machines per hour than the other ones
A hexagon with an apothem of 14.7 inches is shown. a regular hexagon has an apothem of 14.7 inches and a perimeter of 101.8 inches. what is the area of the hexagon? square inches
The area of the considered regular hexagon which has got 14.7 inches of apothem and a perimeter of 101.8 inches is 748.2 sq. inches.
What is apothem?Apothem for a regular polygon is a line segment which originates from the center of the regular polygon and touches the mid of one of the sides of the regular polygon. It is perpendicular to the regular polygon's side it touches.
Regular polygons have all side same and that apothem bisects the side in two parts, (provable by symmetry).
Consider the diagram attached below.
The area of the regular hexagon considered = 6 times (area of triangle ABC) (because of symmetry).
Also, we have:
Area of triangle ABC = 2 times (Area of triangle ABD).
Thus, we get:
Area of the considered hexagon = 6×2×(Area of triangle ABD)
Area of the considered hexagon = 12×(Area of triangle ABD)
Perimeter of a closed figure = sum of its sides' lengths.
There are 6 equal sides in a regular hexagon (due to it being regular).
Thus, if each side is of 'a' inch length, then:
Perimeter = 6×a inches
[tex]101.8 = 6a\\\\\text{Dividing both the sides by 6, to get 'a' on one side}\\\\a = \dfrac{101.8}{6} \approx 16.967 \: \rm inches[/tex]
This is bisected by the apothem.
Thus, we get:
Length of the line segment BD = |BD| = a/2 ≈ 8.483 inches
Since it is given that the length of the apothem = |AD| = 14.7 inches, therefore, we get:
[tex]\text{Area of ABD} = \dfrac{1}{2} \times \rm base \times height \approx \dfrac{14.7 \times 8.483}{2} \approx 62.35 \: \rm in^2[/tex]
Thus, we get:
Area of the considered hexagon = 12×(Area of triangle ABD)
Area of the considered hexagon [tex]\approx 12 \times 62.35 = 748.2 \: \rm in^2[/tex]
Thus, the area of the considered regular hexagon which has got 14.7 inches of apothem and a perimeter of 101.8 inches is 748.2 sq. inches.
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Answer:
748.23
Step-by-step explanation:
On edge
What is equivalent to 3 gallons?
f 4 quarts
g 6 quarts
h 3 quarts
j 12 quarts
Answer:
6g quarts
Step-by-step explanation:
three is a factor and multiple of 6
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
B or 5 and 1/2
Step-by-step explanation:
Convert into improper fractionsThis gives 69/8 and 25/869/8 - 25/8 gives 44/8Convert to a mixed numberThis gives 5 and 4/8Simplify 4/8 to 1/2So the answer is BAnswer:
The answer is B. 5 1/2
Step-by-step explanation:
8 5/8 - 3 1/8 = ?
The first thing to check for, is that the fractions have the same denominator!
They do: 8
8 5/8 - 3 1/8 = 5 4/8 reduce
5 1/2.
5 1/2 is your answer!
the __________ of a number is its ____________on the number line
[tex]\large \mathbb\purple {✒✨ANSWER ✨⚘ }[/tex]
⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰
➝ the absolute value of a number is its distance from 0 on the number line.
⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰
#CARRY ON LEARNINGA triangle has side lengths of (7x - 4) centimeters, (x + 3) centimeters, and
-
(3y + 2) centimeters. Which expression represents the perimeter, in centimeters, of
the triangle?
Answer:
Step-by-step explanation:
Formula
P = s1 + s2 + s3
Givens
s1 = 7x - 4
s2 = x + 3
s3 = 3y + 2
Solution
P = 7x - 4 + x+3 + 3y + 2
P = 8x + 3y + 3 + 2 - 4
Answer
P = 8x + 3y + 1
Note: I can't read the choices well enough to tell which answer it is. To me, it looks like A
Solve for X, please.
Answer:
x = - 11
Step-by-step explanation:
[tex]\frac{-x+10}{3}[/tex] = 7 ( multiply both sides by 3 to clear the fraction )
- x + 10 = 21 ( subtract 10 from both sides )
- x = 11 ( multiply both sides by - 1 )
x = - 11
If f(x) = -4x - 10, what is the
value of f(-6)?
I
What is the mean of this set: (2, 6, 7, 9, 9, 9}? O 6 O 7 8 9What is the mean of this set: (2, 6, 7, 9, 9, 9)? O 6 O 7 C 8 C 9
The ratio of the sum of the values of a data set to the total number of values in the data set is that data set's mean.The mean of the considered data set (2, 6, 7, 9, 9, 9) is given by: Option B: 7
How to find the mean of a data set?Mean is the ratio of the sum of the values of the data set to the total number of values available in the data set.
Thus, we get;
[tex]\rm Mean = \dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}}[/tex]
For this case, we're given the data set 2, 6, 7, 9, 9, 9
There are total 6 observations in this data set.
The sum of these observations is:
2+6+7+9+9+9 =42
Thus, we get:
[tex]\rm Mean = \dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}} = \dfrac{42}{6} = 7[/tex]
Thus, the ratio of the sum of the values of a data set to the total number of values in the data set is that data set's mean.The mean of the considered data set (2, 6, 7, 9, 9, 9) is given by: Option B: 7
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Answer:
b. 7
Step-by-step explanation:
MORE HELP PLEASE!!!!!!!
Answer:
c. 11.7
Step-by-step explanation:
Distance
√(7 + 3)² + (-1 - 5)²√100 + 36√136≅ 11.7An acute triangle has two sides measuring 8 cm and 10 cm. What is the best representation of the possible range of values for the third side, s?
2 < s < 18
6 < s < 12.8
s < 2 or s > 18
s < 6 or s > 12.8
Answer:
your second choice
Step-by-step explanation:
Answer:
B. 6 < s < 12.8
Step-by-step explanation:
I just took the test
Geometry !! please help I will Mark Brainlist ( image attached)
Answer:
x=14
Step-by-step explanation:
3x+1 and 43 are both vertical angles so they are equivant.
3x+1=43
3x=42
x=14
Jamal borrowed $15 600 for 6 years from a bank. The annual simple interest rate for the first 3 years is 1.6%. From then onward, the annual simple interest rate is increased to 2%. How much interest will he owe at the end of 6 years?
Answer:
the interest owed is 1684.8
Step-by-step explanation:
Formula for simple interest =
I = Prt, where P is amount borrowed, r for interest rate and t for time.
Since the first three years is 1.6% interest we can write:
I = 15600 x 0.016 x 3
= 748.8
Then for the following 3 years the interest rate is 2%:
I = 15600 x 0.02 x 3
= 936
Adding the values gives us 1684.8
How do I solve this equation for n? (6x2n)÷8=15
Answer:
n = 10
Step-by-step explanation:
12n ÷ 8 = 15
12n = 15 × 8
12n = 120
n = 120/ 12
n = 10
I need help with this question. Giving points for good answers.
Answer:
4968
Step-by-step explanation:
4500 x (1-4%) x (0.15 + 1) = 4500 x 0.96 x 1.15
(4500 x 0.96) x 1.15 = 4320 x 1.15
4320 x 1.15 = 4968
Hope this helps!
Please help! Will mark brainlyest.
The following table represents the annual sales of a bakery for the last 7 years since the grand opening.
Year
1 2 3 4 5 6 7
Sales (in millions)
1 1.2 1.5 1.8 2 2.2 2.4
(a) Create a scatter plot using the data in the table.
(b) Which model type best fits the data?
(c) Use a graphing calculator or other technology to determine the regression model. Graph the model on the scatter plot and write the equation of the model on the plot. Round each term to the nearest ten-thousandth.
The scatter plot is given below. The linear model best fits the data and the equation of the linear model is y = 0.2667 + 0.7333.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The following table represents the annual sales of a bakery for the last 7 years since the grand opening.
(a) Create a scatter plot using the data in the table. The table is given below.
[tex]\begin{matrix}\rm Year&1 &2 &3 &4 &5 &6 &7 \\\\\rm Sales (in millions)&1 &1.2 &1.5 &1.8 &2 &2.2 &2.4\end{matrix}[/tex]
(b) The linear model type best fits the data.
(c) Use a graphing calculator or other technology to determine the regression model. Graph the model on the scatter plot and write the equation of the model on the plot. Then the equation will be
[tex]\rm y=\left(\dfrac{2.4-1}{7-1}\right)\left(x-1\right) + 1\\\\y = 0.2667 (x - 1) + 1\\\\y = 0.2667x - 0.7333[/tex]
The graph is given below.
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Luca filled four jars with sweet tea. How
much sweet tea did he have in total?
Answer:
167.283525618[tex]in^{3}[/tex] or 53.248[tex]\pi[/tex][tex]in^{3}[/tex]
Step-by-step explanation:
first divide the diameter by 2 to get the radius and you'll get 1.6 and since the formula for finding the volume of a cylinder is [tex]\pi r^{2} h[/tex] you then square 1.6 and get 2.56 multiply that by the height and get 13.312 then multiply by pie to get 41.8208814046 and then multiply that by the number of jars you have which is four to get the total 167.283525618
or 53.248[tex]\pi[/tex] the problem did not specify how it wanted the answer to be
the answer is cubed because the volume is 3 dimentional
Find the equation for a polynomial f(x) that satisfies the following:
Degrees 3
Zero at x 4
Zero at x -3
Zero at x -4
Y intercept (0,8)
Answer:
f(x) = 1/2(4 - x)(x - 1)(x - 2)
Step-by-step explanation:
Considering zero's and a coefficient, the function is:
f(x) = a(x - 4)(x - 1)(x - 2)
Considering y-intercept:
f(0) = a(0 - 4)(0 - 1)(0 - 2)
4 = a(-4)(-1)(-2)
4 = -8a
a = -1/2
So the function is:
f(x) = -1/2(x - 4)(x - 1)(x - 2) = 1/2(4 - x)(x - 1)(x - 2)
A gift shop sells 140 wind chimes per month at $90 each. The owners estimate that for each $5 increase in price, they will sell 7 fewer wind chimes per month. Find the price per wind chime that will maximize revenue.
Answer: $95
Step-by-step explanation:
Te new price will be 90 + 5x, if the price increases "x" times
The number of wind chimes sold per month will become 140 - 7x
[tex]\begin{aligned}&\text {Revenue, } \mathrm{R}(\mathrm{x})=(90+5 \mathrm{x})(140-7 \mathrm{x}) \\&R^{\prime}(x)=5(140-7 x)-7(90+5 x) \\&R^{\prime}(x)=700-35 x-630-35 x \\&R^{\prime}(x)=70-70 x=0 \\&70 x=70 \\&x=1\end{aligned}[/tex]
Therefore, if the price becomes (90 + 5(1)) = $95 per wind chime, then the revenue will be maximum
The height in feet of the curved roof of an aircraft hangar can be modeled by y=-0.02x^2+1.6x, where x is the horizontal distance in feet from one wall at ground level. What is the greatest height of the hangar?
The maximum height is the highest level of height an object can reach. . The greatest height of the hangar is 32feet
How to calculate the maximum height of a function?The maximum height is the highest level of height an object can reach. Given the height in feet of the curved roof of an aircraft hangar can be modeled by y=-0.02x^2+1.6x
The velocity of the aircraft is zero at the maximum height. Therefore:
dy/dx = -0.04x + 1.6 = 0
Determine the value of x
0.04x = 1.6
x = 1.6/0.04
x = 40
Substitute x = 40 into the function to get the greatest height
y=-0.02x^2+1.6x
y=-0.02(40)^2+1.6(40)
y = -32 + 64
y = 32ft
Hence the greatest height of the hangar is 32feet
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I'll give brainly to who can answer these 2 questions and must be correct C:
~Chiena
1- Science is based on the correspondence theory of truth, which claims that truth corresponds with facts and reality.
2- Various philosophers have put forth substantive challenges to the truth claims made by science.
Answer:
FACT CHECK THE ANSWERS!! they are based of mild research and could be wrong!!))
both questions come back as true from the best of my ability and understanding
Step-by-step explanation:
1) In metaphysics and philosophy of language, the correspondence theory of truth states that the truth or falsity of a statement is determined only by how it relates to the world and whether it accurately describes (i.e., corresponds with) that world.
2) Some philosophers view the concept of truth as basic, and unable to be explained in any terms that are more easily understood than the concept of truth itself. Most commonly, truth is viewed as the correspondence of language or thought to a mind-independent world. This is called the correspondence theory of truth.
both exlanations are snippets from Wikipedia